Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
core +4 more sources
Applications of inverse simulation to a nonlinear model of an underwater vehicle [PDF]
, 2008 Inverse simulation provides an important alternative to conventional simulation and to more formal mathematical techniques of model inversion. The application of inverse simulation methods to a nonlinear dynamic model of an unmanned underwater ...
Murray-Smith, D., Lu, L., McGookin, E.
core +8 more sources
The dual index and dual core generalized inverse
Open Mathematics, 2023 In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
doaj +1 more source
The combined effect of fractional filter and Smith Predictor for enhanced closed-loop performance of integer order time-delay systems: some investigations [PDF]
Archives of Control Sciences, 2020 This paper proposes a generalized fractional controller for integer order systems with time delay. The fractional controller structure is so adopted to have a combined effect of fractional filter and Smith predictor.
Shaival, Hemant, Nagarsheth +1 more
doaj +1 more source
Entropy, 2021 In this article, we introduce a new three-parameter distribution called the extended inverse-Gompertz (EIGo) distribution. The implementation of three parameters provides a good reconstruction for some applications.
Ahmed Elshahhat +2 more
doaj +1 more source
The 𝔪-WG° inverse in the Minkowski space
Open Mathematics, 2023 In this article, we study the m{\mathfrak{m}}-WG∘{}^{\circ } inverse which presents a generalization of the m{\mathfrak{m}}-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse.
Liu Xiaoji, Zhang Kaiyue, Jin Hongwei
doaj +1 more source
A note on generalized inverses [PDF]
Mathematical Methods of Operations Research, 2013 Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications. © 2013 Springer-Verlag Berlin Heidelberg.
Paul Embrechts, Marius Hofert
openaire +3 more sources
Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products
Axioms, 2022 This paper considers how to construct and describe matrix equalities that are composed of algebraic operations of matrices and their generalized inverses.
Yongge Tian
doaj +1 more source
Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space
Mathematics, 2023 The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić +2 more
doaj +1 more source
Absolute Moments of Generalized Hyperbolic Distributions and Approximate Scaling of Normal Inverse Gaussian Lévy-Processes [PDF]
, 2004 Expressions for (absolute) moments of generalized hyperbolic (GH) and normal inverse Gaussian (NIG) laws are given in terms of moments of the corresponding symmetric laws.
Barndorff-Nielsen, Ole Eiler +1 more
core +1 more source